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A drug trafficker has racked up nearly a dozen convictions during a decade-long deportation case, outlasting seven immigration ministers.

Sam A. Lam, 42, was convicted of trafficking $10 million worth of heroin into New Zealand in 1998, which was a record haul at the time.

The Vietnamese-born, United States-raised crim holds no passport or travel documents, and both countries have told immigration officials they're not interested in taking him back. Lam has been convicted of drug possession, theft, drunken and careless driving. He will be sentenced on April 10 for driving while disqualified, his fourth conviction.

Immigration Minister Nathan Guy, who leaves the role next week, said more work was needed on the deportation case.

"Mr Lam is an overstayer and a priority deportation case, however Immigration New Zealand has been unable to obtain travel documentation for him so far," said the spokesman.

"Government officials have discussed this issue with their counterparts in the US and Vietnam. We will continue to look for a solution, which may involve further work with the US and Vietnam governments."

Labour immigration spokeswoman Darien Fenton said Lam's reckless offending made him a potential danger to others.

"There needs to be high-level discussions to try and figure out a resolution. It's got to be minister-to-minister level otherwise it won't be resolved."

She said immigration officials were in a difficult position. "You just can't throw people on to planes and say goodbye."